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Finding the Fourth Proportional to 518.75, 715.88 and 344.13

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Solution

The fourth proportional to 518.75, 715.88 and 344.13 is: 474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.75 : 715.88 = 344.13 : x
  2. Step 2: Convert to fraction form
    518.75/715.88 = 344.13/x
  3. Step 3: Cross multiply
    518.75x = 715.88 × 344.13
  4. Step 4: Simplify right side
    518.75x = 246,354.06
  5. Step 5: Solve for x
    x = 246,354.06/518.75
  6. Step 6: Final answer
    x = 474.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.